There is a long history of networked dynamical systems that models the spread of opinions over social networks, with the graph Laplacian playing a lead role. One of the difficulties in modelling opinion dynamics is the presence of polarization: not everyone comes to consensus. This talk will describe joint work with Jakob Hansen introducing a new model for opinion dynamics using sheaves of vector spaces over social networks. The graph Laplacian is enriched to a Hodge Laplacian, and the resulting dynamics on discourse sheaves can lead to some very interesting and perhaps more realistic outcomes.
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Robert Ghrist (Ph.D., Cornell, Applied Mathematics, 1995) is the Andrea Mitchell PIK Professor of Mathematics and Electrical & Systems Engineering at the University of Pennsylvania. He is a recognized leader in the field of Applied Algebraic Topology, working in sensor networks, robotics, signal processing, data analysis, optimization, and more. He is an award-winning researcher, teacher, and expositor of Mathematics and its applications. In his spare time, he enjoys animation and video production.
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Негізгі бет BGSMATH COLLOQUIUM 2021: Opinion Dynamics on Sheaves, by Robert Ghrist (University of Pennsylvania)
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